Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
Charles H. Bennett,Gilles Brassard,Sandu Popescu,Benjamin Schumacher,John A. Smolin,William K. Wootters +5 more
TLDR
Upper and lower bounds on the yield of pure singlets ($\ket{\Psi^-}$) distillable from mixed states $M$ are given, showing $D(M)>0$ if $\bra{Psi-}M\ket-}>\half$.Abstract:
Two separated observers, by applying local operations to a supply of not-too-impure entangled states (e.g., singlets shared through a noisy channel), can prepare a smaller number of entangled pairs of arbitrarily high purity (e.g., near-perfect singlets). These can then be used to faithfully teleport unknown quantum states from one observer to the other, thereby achieving faithful transmission of quantum information through a noisy channel. We give upper and lower bounds on the yield $D\left(M\right)$ of pure singlets $(|{\ensuremath{\Psi}}^{\ensuremath{-}}〉)$ distillable from mixed states $M$, showing $D\left(M\right)g0$ if $〈{\ensuremath{\Psi}}^{\ensuremath{-}}|M|{\ensuremath{\Psi}}^{\ensuremath{-}}〉g\frac{1}{2}$.read more
Citations
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Entanglement, quantum statistics and squeezing of two $\Xi$-type three-level atoms interacting nonlinearly with a single-mode field
H R Baghshahi,M K Tavassoly +1 more
TL;DR: In this paper, the interaction between two Xi$-type three-level atoms and a single-mode cavity field in the intensity dependent coupling regime has been studied and the Laplace transform technique has been used to obtain exact analytical solution of the wave function for the considered atoms-field system.
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Deterministic generation of remote entanglement with active quantum feedback
TL;DR: In this paper, the authors considered the problem of deterministically entangling two remote qubits using joint measurement and feedback, but no directly entangling Hamiltonian, and proposed an average-sense locally optimal feedback protocol, which does not require real-time quantum state estimation.
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Polarization entanglement purification of nonlocal microwave photons based on the cross-Kerr effect in circuit QED
Hao Zhang,Hao Zhang,Qian Liu,Xu-Sheng Xu,Jun Xiong,Ahmed Alsaedi,Tasawar Hayat,Tasawar Hayat,Fu-Guo Deng,Fu-Guo Deng +9 more
TL;DR: In this article, an original polarization entanglement purification protocol for nonlocal microwave photons based on the cross-Kerr effect in circuit quantum electrodynamics (QED) is presented.
Journal ArticleDOI
Method for decoupling error correction from privacy amplification
TL;DR: This work proves the unconditional security of the interactive Cascade protocol proposed by Brassard and Salvail for error correction and modified by one-time-pad encryption of the error syndrome, followed by the random matrix protocol for privacy amplification.
Journal ArticleDOI
Deterministic realization of collective measurements via photonic quantum walks
Zhibo Hou,Jun-Feng Tang,Jiangwei Shang,Huangjun Zhu,Jian Li,Yuan Yuan,Kang-Da Wu,Guo-Yong Xiang,Chuan-Feng Li,Guang-Can Guo +9 more
TL;DR: A general recipe for performing deterministic collective measurements on two identically prepared qubits based on quantum walks is introduced, which offers an effective recipe for beating the precision limit of local measurements in quantum state tomography and metrology.
References
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Journal ArticleDOI
Concentrating partial entanglement by local operations
TL;DR: Any pure or mixed entangled state of two systems can be produced by two classically communicating separated observers, drawing on a supply of singlets as their sole source of entanglement.
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Generalized privacy amplification
TL;DR: This paper provides a general treatment of privacy amplification by public discussion, a concept introduced by Bennett, Brassard, and Robert for a special scenario, and yields results on wiretap and broadcast channels for a considerably strengthened definition of secrecy capacity.